The equation of the line on the graph below is a direct variation equation. What is the constant of variation?
The graph of a line on a coordinate grid is shown connecting the points left-parenthesis negative 4 comma negative 1 right-parenthesis, the origin, and left-parenthesis 4 comma 1 right-parenthesis.
(1 point)
Responses
one-fourth
Image with alt text: one-fourth
one-half
Image with alt text: one-half
three-fourths
Image with alt text: three-fourths
1
1
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The constant of variation for a direct variation equation is the slope of the line.
To find the slope, we can use the formula:
slope = (change in y)/(change in x)
In this case, the change in y is 1 - (-1) = 2, and the change in x is 4 - (-4) = 8.
So, the slope is 2/8 = 1/4.
Therefore, the constant of variation is one-fourth.